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• W3048806125 abstract "This paper investigates a diffusion synthetic acceleration (DSA) approach to the k-eigenvalue problem of the neutron transport equation. The novelties of this study reside in 1) casting the low-order diffusion equation directly as a nonlinear problem, which is solved with the PJFNK (preconditioned Jacobian-free Newton Krylov) method, circumventing the need for power iteration; 2) showing the appealing features on solving the diffusion equation with DSA compared with nonlinear diffusion acceleration (NDA) with a simplified model of ATR (Advanced Test Reactor); 3) proposing the DSA weak form for the discretization scheme with SAAF (self-adjoint angular flux) formulation that is stable with anisotropic scatterings; 4) showing the impact of the vacuum boundary coefficient of the low-order equation on the convergence of DSA. Both DSA and NDA are implemented in and tested with Rattlesnake code, the INL MOOSE-based radiation transport application for multi-physics modeling and simulations." @default.
• W3048806125 created "2020-08-18" @default.
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• W3048806125 date "2020-12-01" @default.
• W3048806125 modified "2023-09-27" @default.
• W3048806125 title "A diffusion synthetic acceleration approach to k-eigenvalue neutron transport using PJFNK" @default.
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• W3048806125 doi "https://doi.org/10.1016/j.anucene.2020.107714" @default.
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